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denis-greek [22]
3 years ago
15

Find the area of the circle formed when a plane passes 7 cm from the center of a sphere with radius 8 cm. give your answer in te

rms of pi.
Mathematics
1 answer:
Artyom0805 [142]3 years ago
5 0

The area of the circle formed when the plane passes through the center of the given sphere is: 15π cm².

<h3>What is the Area of a Circle?</h3>

Area of a circle = πr² (radius of the circle = r).

Given the following:

  • Radius of sphere = 8 cm
  • Distance of the plane from the center of the sphere = 7 cm

Radius of the circle = √((radius of sphere)² - (distance of the  plane  from  the  center of sphere²)) = √(8² - 7²)

Radius of the circle = 3.87 cm

Area of the circle = π(3.87²) ≈ 15π cm².

Learn more about the area of a circle on:

brainly.com/question/15265467

#SPJ4

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